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Finding the Fourth Proportional to 3,971.68, 5,480.10 and 2,293.06

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Solution

The fourth proportional to 3,971.68, 5,480.10 and 2,293.06 is: 3,163.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,971.68 : 5,480.10 = 2,293.06 : x
  2. Step 2: Convert to fraction form
    3,971.68/5,480.10 = 2,293.06/x
  3. Step 3: Cross multiply
    3,971.68x = 5,480.10 × 2,293.06
  4. Step 4: Simplify right side
    3,971.68x = 12,566,198.11
  5. Step 5: Solve for x
    x = 12,566,198.11/3,971.68
  6. Step 6: Final answer
    x = 3,163.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.